2 votes 2 votes The number of linearly independent solutions of 'm' homogeneous linear equations in 'n' variables ..AX=0 is (n-r) where r is the rank of a matrix..could somebody explain me by giving proper reasoning as how?...Thanks Linear Algebra engineering-mathematics + – Shivi rao asked Oct 6, 2017 Shivi rao 387 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.